Evaluate sin 60° without using a calculator by using ratios in a reference triangle.

The answer is .

For the reference triangle I will just be using the regular default unit circle triangle used widely when calculating trigonometric ratios. If you are familiar with a unit circle, you can outline the degree angle by measuring counter-clockwise away from the 0 degree point, which in graphing terms, is the right (positive side) of the y-axis. Measuring out a 60 degree angle triangle would result in a triangle looking like the image down below. With this triangle in mind, the resulting hypotenuse would obviously be 1, with the side lengths equivalent to and 1. Using SOHCAHTOA, sin would be equal to the the greater side length over the hypotenuse, which would be , which is equal to .

d is correct

step-by-step explanation: